Question

Draw a circle with centre $O$ and radius $2.4cm$. Draw two radii $OA$ and $OB$ such that the angle between them is ${60}^o$. Draw the tangents to $A$ and $B$ which intersect each other at $T$. Measure the angle $ATB$.

Answer 1

R.E.F image

We have to measure

$\angle ATB.$

as AT & BT are

Tangents

$\angle OAT$ & $\angle OBT={90}^{\circ }$

Thus in quad. OATB

$\angle OAT+\angle OBT+\angle AOB+\angle ATB={360}^{\circ }$

${60}^{\circ }+{90}^{\circ }+{90}^{\circ }+\angle ATB={360}^{\circ }$

$\angle ATB={120}^{\circ }$